Accession Number : AD0646888

Title :   ELASTIC PLASTIC TORSION AS A PROBLEM IN NON-LINEAR PROGRAMMING,

Corporate Author : ILLINOIS INST OF TECH CHICAGO DEPT OF MECHANICS

Personal Author(s) : Hodge,Philip G.

Report Date : JAN 1967

Pagination or Media Count : 28

Abstract : For a simply connected region, it is shown that the problem of determining the elastic-plastic stress function is equivalent to that of minimizing the complementary energy subject to the inequality constraints required by the yield condition. A method is proposed for approximating this minimum in which the cross section is approximated by a finite number of triangles and a linear stress function is assumed for each triangle. This approximate problem is then solved by means of a recently available computer program for solving nonlinear constrained minimization problems. (Author)

Descriptors :   (*RODS, STRESSES), (*NONLINEAR PROGRAMMING, *TORSION), ELASTIC PROPERTIES, PLASTIC PROPERTIES, APPROXIMATION(MATHEMATICS), PRISMATIC BODIES

Subject Categories : Operations Research
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE